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Finding the Fourth Proportional to 24,115.86, 33,281.28 and 13,505.40

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Solution

The fourth proportional to 24,115.86, 33,281.28 and 13,505.40 is: 18,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.86 : 33,281.28 = 13,505.40 : x
  2. Step 2: Convert to fraction form
    24,115.86/33,281.28 = 13,505.40/x
  3. Step 3: Cross multiply
    24,115.86x = 33,281.28 × 13,505.40
  4. Step 4: Simplify right side
    24,115.86x = 449,476,998.91
  5. Step 5: Solve for x
    x = 449,476,998.91/24,115.86
  6. Step 6: Final answer
    x = 18,638.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.